Search a number
-
+
14134210242110 = 2574394114993329
BaseRepresentation
bin1100110110101110000010…
…0101001010011000111110
31212001012212102011122210022
43031223200211022120332
53323033330310221420
650021055550212142
72656106622524210
oct315534045123076
955035772148708
1014134210242110
11455a315226a52
12170337a4b4052
137b6b0917c2aa
1436c156b785b0
151979e36b5c25
hexcdae094a63e

14134210242110 has 128 divisors (see below), whose sum is σ = 29812717440000. Its totient is φ = 4723713146880.

The previous prime is 14134210242023. The next prime is 14134210242133. The reversal of 14134210242110 is 1124201243141.

14134210242110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14134210242110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4245780926 + ... + 4245784254.

It is an arithmetic number, because the mean of its divisors is an integer number (232911855000).

Almost surely, 214134210242110 is an apocalyptic number.

14134210242110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14134210242110 is an abundant number, since it is smaller than the sum of its proper divisors (15678507197890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14134210242110 is a wasteful number, since it uses less digits than its factorization.

14134210242110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 14134210242110 its reverse (1124201243141), we get a palindrome (15258411485251).

The spelling of 14134210242110 in words is "fourteen trillion, one hundred thirty-four billion, two hundred ten million, two hundred forty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 43 70 86 215 301 430 602 941 1499 1505 1882 2998 3010 3329 4705 6587 6658 7495 9410 10493 13174 14990 16645 20986 23303 32935 33290 40463 46606 52465 64457 65870 80926 104930 116515 128914 143147 202315 233030 283241 286294 322285 404630 451199 566482 644570 715735 902398 1002029 1410559 1416205 1431470 2004058 2255995 2821118 2832410 3132589 4511990 4990171 5010145 6265178 7052795 9873913 9980342 10020290 14105590 15662945 19747826 21928123 24950855 31325890 34931197 43856246 49369565 49901710 60654037 69862394 98739130 109640615 121308074 134701327 174655985 214577353 219281230 269402654 303270185 349311970 424578259 429154706 606540370 673506635 849156518 942909289 1072886765 1347013270 1502041471 1885818578 2122891295 2145773530 3004082942 4245782590 4695750911 4714546445 7510207355 9391501822 9429092890 15020414710 23478754555 32870256377 46957509110 65740512754 164351281885 201917289173 328702563770 403834578346 1009586445865 1413421024211 2019172891730 2826842048422 7067105121055 14134210242110